Questions 1-3

Question

You are on vacation in Los Angeles, and you need to get around town to different locations. Below are the rates for 2 different cab companies, locally dubbed "The Yellow Cabs" and "The Blue Cabs". Please answer the following questions about this graph.

Question 1 (1 point)
What is the initial cost for the Yellow Cab?

Question 1 options:

Hide hint for Question 1
The cost to get into a cab is the cost at 0 miles (AKA the y-intercept)

Question 2 (1 point)
How much does it cost per mile for a Yellow Cab?

Question 2 options:

Hide hint for Question 2
The cost per mile is the same as the slope of the line

Question 3 (1 point)
What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Yellow Cab?

Question 3 options:

Hide hint for Question 3
Use the form "y=mx+b" where "m" is the slope of the line (the cost per mile) and "b" is the y-intercept (the starting amount to get in a cab)

Questions 4-6
You are on vacation in Los Angeles, and you need to get around town to different locations. Below are the rates for 2 different cab companies, locally dubbed "The Yellow Cabs" and "The Blue Cabs". Please answer the following questions about this graph.

Question 4 (1 point)
What is the initial cost for the Blue Cab?

Question 4 options:

Hide hint for Question 4
The cost to get into a cab is the starting amount at 0 miles (AKA the y-intercept)

Question 5 (1 point)
How much does it cost per mile for a Blue Cab?

Question 5 options:

Hide hint for Question 5
The cost per mile is the same as the slope of the line

Question 6 (1 point)
What is the equation, in slope-intercept form, that relates the cost compared to the miles traveled for a Blue Cab?

Question 6 options:

Hide hint for Question 6
Use the form "y=mx+b" where "m" is the slope of the line (the cost per mile) and "b" is the y-intercept (the starting amount to get in a cab)

Questions 7-10
You are on vacation in Los Angeles, and you need to get around town to different locations. Below are the rates for 2 different cab companies, locally dubbed "The Yellow Cabs" and "The Blue Cabs". Please answer the following questions about this graph.

Question 7 (1 point)
If you will only be traveling 1 mile, which cab company should you call and how much will it cost you?

Question 7 options:

Hide hint for Question 7
The company you choose should have a lower cost at 1 miles

Question 8 (1 point)
If you will be traveling 4 miles, which cab company should you call and how much will it cost you?

Question 8 options:

Hide hint for Question 8
The company you choose should have a lower cost at 4 miles

Question 9 (1 point)
How many miles would you travel for the cost to be the same for both cabs and how much will that cost you?

Question 9 options:

Hide hint for Question 9
The cost for the 2 cabs are equal when the lines intersect

Question 10 (1 point)
What is the difference in cost between the two companies if you need to travel 3 miles?

Question 10 options:

Hide hint for Question 10
to find the difference, subtract the total cost of each company at 3 miles

Answer 1

To answer your questions accurately, I would normally need the specific rates and graph information for The Yellow Cabs and The Blue Cabs. However, since I don’t have access to a graph or specific rates, I’ll provide you with a guideline on how to approach each question.

General Approach

1. Identify the Initial Cost (y-intercept):

   • For both cab companies, the initial cost, or the cost to get into a cab, is represented by the y-intercept of their respective lines on the graph. Look for the point where the line crosses the y-axis.

2. Determine the Cost per Mile (slope):

   • The slope of the line represents the cost per mile for each cab. This can be determined by selecting two points on the line and using the slope formula \((y_2 - y_1) / (x_2 - x_1)\).

3. Formulate the Equation:

   • The equation can be expressed in slope-intercept form \(y = mx + b\), where \(m\) is the slope (cost per mile) and \(b\) is the y-intercept (initial cost).

Specific Questions

Questions 1-3: Yellow Cab

1. Initial Cost: Read off from the graph at 0 miles.
2. Cost Per Mile: Determine the slope between two points on the Yellow Cab line.
3. Equation: Write the equation in the format \(y = mx + b\).

Questions 4-6: Blue Cab

4. Initial Cost: Read off from the graph at 0 miles.
5. Cost Per Mile: Determine the slope using points from the Blue Cab line.
6. Equation: Formulate the corresponding equation in slope-intercept form.

Questions 7-10: Comparison of Costs

7. 1 Mile Cost: Calculate the cost at 1 mile for both cabs and choose the cheaper one.
8. 4 Miles Cost: Do the same for 4 miles.
9. Equal Costs: Find the intersection point (usually solved algebraically or graphically) where both equations equal each other to find miles and cost.
10. Cost Difference for 3 Miles: Plug in 3 miles into both equations and subtract the costs.

Final Note

You will need to input specific numerical values based on the information from the graph for exact answers. If you can provide the rates or other numerical data from the graph, I can help you compute the answers directly!